Joint BCAM-UPV/EHU Analysis and PDE seminar: Seminorm inequalities for ergodic averages along primes

LOCATION: UPV/EHU

*PLEASE NOTE THAT THE LOCATION HAS CHANGED

Abstract
Various kinds of seminorms have been intensively studied since Bourgain's seminal papers at the end of 1980s, where oscillation and variation seminorms were used to prove the pointwise convergence of the ergodic averages along polynomials. Since then those seminorms became an indispensable tool in studying the pointwise convergence in ergodic theory and harmonic analysis.

In this talk we present recent results concerning oscillation and jump seminorms for the polynomial ergodic averages modelled over multi-dimensional subset of primes.

Joint work with Nathan Melhhop (Rutgers University).